<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-06-03</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001363829</issuerCik>
        <issuerName>Enstar Group LTD</issuerName>
        <issuerTradingSymbol>ESGR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001442289</rptOwnerCik>
            <rptOwnerName>FIRST RESERVE FUND XII LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001442290</rptOwnerCik>
            <rptOwnerName>FR XII A PARALLEL VEHICLE LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001604482</rptOwnerCik>
            <rptOwnerName>FR XI Offshore AIV, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001604479</rptOwnerCik>
            <rptOwnerName>FR Torus Co-Investment, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001544731</rptOwnerCik>
            <rptOwnerName>First Reserve GP XII Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001544730</rptOwnerCik>
            <rptOwnerName>First Reserve GP XII, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001597224</rptOwnerCik>
            <rptOwnerName>FR XI Offshore GP, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001597223</rptOwnerCik>
            <rptOwnerName>FR XI Offshore GP Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000908428</rptOwnerCik>
            <rptOwnerName>MACAULAY WILLIAM E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST RESERVE</rptOwnerStreet1>
            <rptOwnerStreet2>ONE LAFAYETTE PLACE</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Stock, par value $1.00/share (&quot;Ordinary Shares&quot;)</value>
            </securityTitle>
            <transactionDate>
                <value>2015-06-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>652596</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>140</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                    <footnoteId id="F7"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-06-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>11715</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>140</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                    <footnoteId id="F7"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-06-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>809989</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>140</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                    <footnoteId id="F7"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-06-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>26911</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>140</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                    <footnoteId id="F7"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Represents Ordinary Shares held directly by First Reserve Fund XII, L.P. (&quot;First Reserve XII&quot;).</footnote>
        <footnote id="F2">Represents Ordinary Shares held directly by FR XII-A Parallel Vehicle L.P., (&quot;FR XII-A&quot;).</footnote>
        <footnote id="F3">Represents Ordinary Shares held directly by FR XI Offshore AIV, L.P. (&quot;FR XI Offshore AIV&quot;).</footnote>
        <footnote id="F4">Represents Ordinary Shares held directly by FR Torus Co-Investment, L.P (&quot;FR Co-Invest,&quot; together with First Reserve XII, FR XII-A and FR XI Offshore AIV, the &quot;First Reserve Vehicles&quot;).</footnote>
        <footnote id="F5">First Reserve GP XII Limited (&quot;XII Limited&quot;) is the general partner of First Reserve GP XII, L.P. (&quot;XII GP&quot;), which in turn is the general partner of each of First Reserve XII and FR XII-A.  XII Limited is the general partner of FR Co-Invest. William E. Macaulay is a director of XII Limited, and has the right to appoint a majority of the Board of Directors of XII Limited. By virtue of Mr. Macaulay's right to appoint a majority of the directors of XII Limited, Mr. Macaulay may be deemed to have the shared power to vote or direct the vote of (and the shared power to dispose of or direct the disposition of) the Ordinary Shares held by each of First Reserve XII, FR XII-A and FR Co-Invest and therefore, Mr. Macaulay may be deemed to be a beneficial owner of such Ordinary Shares.</footnote>
        <footnote id="F6">FR XI Offshore GP, L.P. (&quot;GP XI Offshore&quot;) is the general partner of FR XI Offshore AIV.  FR XI Offshore GP Limited (&quot;GP XI Offshore Limited&quot;, together with the First Reserve Vehicles, XII Limited, XII GP, GP XI Offshore and Mr. Macaulay, collectively the &quot;Reporting Persons&quot;) is the general partner of GP XI Offshore.</footnote>
        <footnote id="F7">Each of such Reporting Persons may be deemed to beneficially own the Ordinary Shares beneficially owned by the First Reserve Vehicles directly or indirectly controlled by it, but each of the Reporting Persons, other than the First Reserve Vehicles as to their direct holdings of such Ordinary Shares, disclaims beneficial ownership of the Ordinary Shares held by the First Reserve Vehicles except to the extent of such Reporting Person's pecuniary interest therein, and, pursuant to Rule 16a-1(a)(4) under the Securities Exchange Act of 1934, each of the Reporting Persons, other than the First Reserve Vehicles as to their direct holdings of Ordinary Shares, states that the inclusion of these securities in this report shall not be deemed an admission of beneficial ownership of all of the reported securities for purposes of Section 16 of the Securities Exchange Act of 1934 or for any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>FIRST RESERVE FUND XII, L.P., BY:  FIRST RESERVE GP XII, L.P., its general partner, BY:  FIRST RESERVE GP XII LIMITED, its general partner, By:  /s/ Anne E. Gold, Chief Compliance Officer, Secretary</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FR XII-A PARALLEL VEHICLE, L.P., BY:  FIRST RESERVE GP XII, L.P., its general partner, BY:  FIRST RESERVE GP XII LIMITED, its general partner, By:  /s/ Anne E. Gold, Chief Compliance Officer, Secretary</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FR XI OFFSHORE AIV, L.P., BY:  FR XI OFFSHORE GP, L.P., its general partner, BY:  FR XI OFFSHORE GP LIMITED, its general partner, By:  /s/ Anne E. Gold, Chief Compliance Officer, Secretary</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FR TORUS CO-INVESTMENT, L.P., BY:  FIRST RESERVE GP XII LIMITED, its general partner, By:  /s/ Anne E. Gold, Chief Compliance Officer, Secretary</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FIRST RESERVE GP XII LIMITED, By:  /s/ Anne E. Gold, Chief Compliance Officer, Secretary</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FIRST RESERVE GP XII, L.P., BY:  FIRST RESERVE GP XII LIMITED, its general partner, By:  /s/ Anne E. Gold, Chief Compliance Officer, Secretary</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FR XI OFFSHORE GP, L.P., BY:  FR XI OFFSHORE GP LIMITED, its general partner, By:  /s/ Anne E. Gold, Chief Compliance Officer, Secretary</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FR XI OFFSHORE GP LIMITED, By:  /s/ Anne E. Gold, Chief Compliance Officer, Secretary</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WILLIAM E. MACAULAY, By:  /s/ Anne E. Gold, Attorney-in-fact</signatureName>
        <signatureDate>2015-06-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
